Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian
Quantum Algebra
2007-08-27 v2 Mathematical Physics
math.MP
Abstract
We study a class of representations of the Lie algebra of Laurent polynomials with values in the nilpotent subalgebra of sl(3). We derive Weyl-type (bosonic) character formulas for these representations. We establish a connection between the bosonic formulas and the Whittaker vector in the Verma module for the quantum group . We also obtain a fermionic formula for an eigenfunction of the sl(3) quantum Toda Hamiltonian.
Keywords
Cite
@article{arxiv.0707.1635,
title = {Principal $\hat{sl}(3)$ subspaces and quantum Toda Hamiltonian},
author = {B. Feigin and E. Feigin and M. Jimbo and T. Miwa and E. Mukhin},
journal= {arXiv preprint arXiv:0707.1635},
year = {2007}
}
Comments
Latex, 42 pages